{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Requirement already satisfied: mesa in /Users/ben/anaconda3/lib/python3.6/site-packages (0.8.7)\n",
      "Requirement already satisfied: cookiecutter in /Users/ben/anaconda3/lib/python3.6/site-packages (from mesa) (1.7.2)\n",
      "Requirement already satisfied: networkx in /Users/ben/anaconda3/lib/python3.6/site-packages (from mesa) (2.2)\n",
      "Requirement already satisfied: tornado in /Users/ben/anaconda3/lib/python3.6/site-packages (from mesa) (5.1.1)\n",
      "Requirement already satisfied: pandas in /Users/ben/anaconda3/lib/python3.6/site-packages (from mesa) (1.1.0)\n",
      "Requirement already satisfied: tqdm in /Users/ben/.local/lib/python3.6/site-packages (from mesa) (4.47.0)\n",
      "Requirement already satisfied: click in /Users/ben/anaconda3/lib/python3.6/site-packages (from mesa) (7.0)\n",
      "Requirement already satisfied: numpy in /Users/ben/anaconda3/lib/python3.6/site-packages (from mesa) (1.19.1)\n",
      "Requirement already satisfied: python-slugify>=4.0.0 in /Users/ben/anaconda3/lib/python3.6/site-packages (from cookiecutter->mesa) (4.0.1)\n",
      "Requirement already satisfied: Jinja2<3.0.0 in /Users/ben/anaconda3/lib/python3.6/site-packages (from cookiecutter->mesa) (2.11.2)\n",
      "Requirement already satisfied: poyo>=0.5.0 in /Users/ben/anaconda3/lib/python3.6/site-packages (from cookiecutter->mesa) (0.5.0)\n",
      "Requirement already satisfied: jinja2-time>=0.2.0 in /Users/ben/anaconda3/lib/python3.6/site-packages (from cookiecutter->mesa) (0.2.0)\n",
      "Requirement already satisfied: requests>=2.23.0 in /Users/ben/anaconda3/lib/python3.6/site-packages (from cookiecutter->mesa) (2.24.0)\n",
      "Requirement already satisfied: six>=1.10 in /Users/ben/anaconda3/lib/python3.6/site-packages (from cookiecutter->mesa) (1.15.0)\n",
      "Requirement already satisfied: binaryornot>=0.4.4 in /Users/ben/anaconda3/lib/python3.6/site-packages (from cookiecutter->mesa) (0.4.4)\n",
      "Requirement already satisfied: MarkupSafe<2.0.0 in /Users/ben/anaconda3/lib/python3.6/site-packages (from cookiecutter->mesa) (1.1.0)\n",
      "Requirement already satisfied: decorator>=4.3.0 in /Users/ben/anaconda3/lib/python3.6/site-packages (from networkx->mesa) (4.4.2)\n",
      "Requirement already satisfied: pytz>=2017.2 in /Users/ben/anaconda3/lib/python3.6/site-packages (from pandas->mesa) (2018.7)\n",
      "Requirement already satisfied: python-dateutil>=2.7.3 in /Users/ben/anaconda3/lib/python3.6/site-packages (from pandas->mesa) (2.7.5)\n",
      "Requirement already satisfied: text-unidecode>=1.3 in /Users/ben/anaconda3/lib/python3.6/site-packages (from python-slugify>=4.0.0->cookiecutter->mesa) (1.3)\n",
      "Requirement already satisfied: arrow in /Users/ben/anaconda3/lib/python3.6/site-packages (from jinja2-time>=0.2.0->cookiecutter->mesa) (0.16.0)\n",
      "Requirement already satisfied: urllib3!=1.25.0,!=1.25.1,<1.26,>=1.21.1 in /Users/ben/anaconda3/lib/python3.6/site-packages (from requests>=2.23.0->cookiecutter->mesa) (1.25.10)\n",
      "Requirement already satisfied: certifi>=2017.4.17 in /Users/ben/anaconda3/lib/python3.6/site-packages (from requests>=2.23.0->cookiecutter->mesa) (2020.6.20)\n",
      "Requirement already satisfied: idna<3,>=2.5 in /Users/ben/anaconda3/lib/python3.6/site-packages (from requests>=2.23.0->cookiecutter->mesa) (2.10)\n",
      "Requirement already satisfied: chardet<4,>=3.0.2 in /Users/ben/anaconda3/lib/python3.6/site-packages (from requests>=2.23.0->cookiecutter->mesa) (3.0.4)\n"
     ]
    }
   ],
   "source": [
    "!pip install mesa"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sys\n",
    "sys.path.insert(0, '/Users/ben/covid19-sim-mesa/')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "# from https://github.com/ziofil/live_plot\n",
    "from collections import defaultdict\n",
    "from matplotlib import pyplot as plt\n",
    "from IPython.display import clear_output\n",
    "from itertools import cycle\n",
    "\n",
    "lines = ['-', '--', '-.', ':']\n",
    "markers = ['o', 's', '*', 'v', '^', 'D', 'h', 'x', '+', '8', 'p', '<', '>', 'd', 'H']\n",
    "\n",
    "size=15\n",
    "params = {'legend.fontsize': 'large',\n",
    "          'figure.figsize': (20, 8),\n",
    "          'axes.labelsize': size,\n",
    "          'axes.titlesize': size,\n",
    "          'xtick.labelsize': size*0.75,\n",
    "          'ytick.labelsize': size*0.75,\n",
    "          'axes.titlepad': 25}\n",
    "plt.rcParams.update(params)\n",
    "\n",
    "\n",
    "def get_stepsize(data_list, target_dim=100):\n",
    "    if len(data_list) < target_dim:\n",
    "        return 1\n",
    "    return target_dim / len(data_list)\n",
    "\n",
    "def live_plot(data_dict, figsize=(20, 10), title=''):\n",
    "    linecycler = cycle(lines)\n",
    "    markercycler = cycle(markers)\n",
    "    clear_output(wait=True)\n",
    "    plt.figure(figsize=figsize)\n",
    "    for label, data in data_dict.items():\n",
    "        plt.plot(\n",
    "            np.array(data) * 25.733,\n",
    "            label=label,\n",
    "            marker=next(markercycler),\n",
    "            markersize=7,\n",
    "            linestyle=next(linecycler),\n",
    "            linewidth=2.5,\n",
    "            markevery=get_stepsize(data)\n",
    "        )\n",
    "    plt.title(title)\n",
    "    plt.grid(True)\n",
    "    plt.xlabel('iteration')\n",
    "    plt.legend(loc='best')  # upper left\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total deaths: 8929.351\n"
     ]
    }
   ],
   "source": [
    "import sys\n",
    "sys.path.insert(0,'/home/ben/covid19-sim-mesa/')\n",
    "\n",
    "import math\n",
    "from person import Person\n",
    "from model import *\n",
    "\n",
    "# Simulation parameters\n",
    "scale_factor = 0.001\n",
    "area = 242495 # km2 uk\n",
    "side = int(math.sqrt(area))  # 492\n",
    "\n",
    "def lockdown_policy(infected, deaths, population_size):\n",
    "    \"\"\"Given infected and deaths over time (lists)\n",
    "    determine if we should declare a national lockdown.\n",
    "    \"\"\"\n",
    "    return 0\n",
    "\n",
    "sim_params = {\n",
    "    \"grid_x\": 100,  # size of grid: X axis\n",
    "    \"grid_y\": 100,  # size of grid: Y axis\n",
    "    \"density\": 259 * scale_factor,  # population density  # 259 uk, https://en.wikipedia.org/wiki/Demography_of_the_United_Kingdom\n",
    "    \"initial_infected\": 0.05,  # initial percentage of population infected\n",
    "    \"infect_rate\": 0.1,  # chance to infect someone in close contact\n",
    "    \"recovery_period\": 14 * 12,  # number of hours to recover after being infected, 0 for never\n",
    "    \"critical_rate\": 0.05,  # critical illness rate among those infected over the whole recovery period\n",
    "    \"hospital_capacity_rate\": .02, # hospital beds per person\n",
    "    \"active_ratio\": 8 / 24.0,  # ratio of hours in the day when active\n",
    "    \"immunity_chance\": 1.0,  # chance of infection granting immunity after recovery\n",
    "    \"quarantine_rate\": 0.6,  # percentage infected person goes into quarantine\n",
    "    \"lockdown_policy\": lockdown_policy,\n",
    "    \"cycles\": 200 * 12,  # cycles to run, 0 for infinity\n",
    "    'hospital_period': 21 * 12,  # how long in hospital\n",
    "}\n",
    "\n",
    "model = Simulation(sim_params)\n",
    "current_cycle = 0\n",
    "cycles_to_run = sim_params.get('cycles')\n",
    "print(cycles_to_run)\n",
    "print(sim_params)\n",
    "for current_cycle in range(cycles_to_run):\n",
    "    model.step()\n",
    "    if (current_cycle % 10) == 0:\n",
    "        live_plot(model.datacollector.model_vars)\n",
    "\n",
    "#model_data = model.datacollector.get_model_vars_dataframe()\n",
    "#model_data.plot()\n",
    "#print(model_data)\n",
    "#plt.show()\n",
    "\n",
    "#Free beds in the hospital: 250.77600000000004\n",
    "#Population: 62694\n",
    "\n",
    "print('Total deaths: {}'.format(\n",
    "    model.datacollector.model_vars['Deaths'][-1] * 25.733\n",
    "))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total deaths: 437.461\n"
     ]
    }
   ],
   "source": [
    "import sys\n",
    "sys.path.insert(0,'/home/ben/covid19-sim-mesa/')\n",
    "\n",
    "import math\n",
    "from person import Person\n",
    "from model import *\n",
    "\n",
    "# Simulation parameters\n",
    "scale_factor = 0.001\n",
    "area = 242495 # km2 uk\n",
    "side = int(math.sqrt(area))  # 492\n",
    "\n",
    "def lockdown_policy(infected, deaths, population_size):\n",
    "    \"\"\"Given infected and deaths over time (lists)\n",
    "    determine if we should declare a national lockdown.\n",
    "    \"\"\"\n",
    "    if infected[-1] / population_size > 0.2:\n",
    "        return 21 * 12\n",
    "    return 0\n",
    "\n",
    "sim_params = {\n",
    "    \"grid_x\": 100,  # size of grid: X axis\n",
    "    \"grid_y\": 100,  # size of grid: Y axis\n",
    "    \"density\": 259 * scale_factor,  # population density  # 259 uk, https://en.wikipedia.org/wiki/Demography_of_the_United_Kingdom\n",
    "    \"initial_infected\": 0.05,  # initial percentage of population infected\n",
    "    \"infect_rate\": 0.1,  # chance to infect someone in close contact\n",
    "    \"recovery_period\": 14 * 12,  # number of hours to recover after being infected, 0 for never\n",
    "    \"critical_rate\": 0.05,  # critical illness rate among those infected over the whole recovery period\n",
    "    \"hospital_capacity_rate\": .02, # hospital beds per person\n",
    "    \"active_ratio\": 8 / 24.0,  # ratio of hours in the day when active\n",
    "    \"immunity_chance\": 1.0,  # chance of infection granting immunity after recovery\n",
    "    \"quarantine_rate\": 0.6,  # percentage infected person goes into quarantine\n",
    "    \"lockdown_policy\": lockdown_policy,\n",
    "    \"cycles\": 150 * 12,  # cycles to run, 0 for infinity\n",
    "    'hospital_period': 21 * 12,  # how long in hospital\n",
    "}\n",
    "\n",
    "model = Simulation(sim_params)\n",
    "current_cycle = 0\n",
    "cycles_to_run = sim_params.get('cycles')\n",
    "print(cycles_to_run)\n",
    "print(sim_params)\n",
    "for current_cycle in range(cycles_to_run):\n",
    "    model.step()\n",
    "    if (current_cycle % 10) == 0:\n",
    "        live_plot(model.datacollector.model_vars)\n",
    "#model_data = model.datacollector.get_model_vars_dataframe()\n",
    "#model_data.plot()\n",
    "#print(model_data)\n",
    "#plt.show()\n",
    "\n",
    "print('Total deaths: {}'.format(\n",
    "    model.datacollector.model_vars['Deaths'][-1] * 25.733\n",
    "))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total deaths: 488.927\n"
     ]
    }
   ],
   "source": [
    "import sys\n",
    "sys.path.insert(0,'/home/ben/covid19-sim-mesa/')\n",
    "\n",
    "import math\n",
    "from person import Person\n",
    "from model import *\n",
    "\n",
    "# Simulation parameters\n",
    "scale_factor = 0.001\n",
    "area = 242495 # km2 uk\n",
    "side = int(math.sqrt(area))  # 492\n",
    "\n",
    "def lockdown_policy(infected, deaths, population_size):\n",
    "    \"\"\"Given infected and deaths over time (lists)\n",
    "    determine if we should declare a national lockdown.\n",
    "    \"\"\"\n",
    "    if (infected[-1] / population_size) > 0.2:\n",
    "        return 21 * 12\n",
    "    return 0\n",
    "\n",
    "sim_params = {\n",
    "    \"grid_x\": 100,  # size of grid: X axis\n",
    "    \"grid_y\": 100,  # size of grid: Y axis\n",
    "    \"density\": 259 * scale_factor,  # population density  # 259 uk, https://en.wikipedia.org/wiki/Demography_of_the_United_Kingdom\n",
    "    \"initial_infected\": 0.05,  # initial percentage of population infected\n",
    "    \"infect_rate\": 0.1,  # chance to infect someone in close contact\n",
    "    \"recovery_period\": 14 * 12,  # number of hours to recover after being infected, 0 for never\n",
    "    \"critical_rate\": 0.05,  # critical illness rate among those infected over the whole recovery period\n",
    "    \"hospital_capacity_rate\": .02, # hospital beds per person\n",
    "    \"active_ratio\": 8 / 24.0,  # ratio of hours in the day when active\n",
    "    \"immunity_chance\": 1.0,  # chance of infection granting immunity after recovery\n",
    "    \"quarantine_rate\": 0.6,  # percentage infected person goes into quarantine\n",
    "    \"lockdown_policy\": lockdown_policy,\n",
    "    \"cycles\": 150 * 12,  # cycles to run, 0 for infinity\n",
    "    'hospital_period': 21 * 12,  # how long in hospital\n",
    "}\n",
    "\n",
    "model = Simulation(sim_params)\n",
    "current_cycle = 0\n",
    "cycles_to_run = sim_params.get('cycles')\n",
    "print(cycles_to_run)\n",
    "print(sim_params)\n",
    "for current_cycle in range(cycles_to_run):\n",
    "    model.step()\n",
    "    if (current_cycle % 10) == 0:\n",
    "        live_plot(model.datacollector.model_vars)\n",
    "#model_data = model.datacollector.get_model_vars_dataframe()\n",
    "#model_data.plot()\n",
    "#print(model_data)\n",
    "#plt.show()\n",
    "\n",
    "#Free beds in the hospital: 250.77600000000004\n",
    "#Population: 62694\n",
    "\n",
    "print('Total deaths: {}'.format(\n",
    "    model.datacollector.model_vars['Deaths'][-1] * 25.733\n",
    "))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total deaths: 308.796\n"
     ]
    }
   ],
   "source": [
    "import sys\n",
    "sys.path.insert(0,'/home/ben/covid19-sim-mesa/')\n",
    "\n",
    "import math\n",
    "from person import Person\n",
    "from model import *\n",
    "\n",
    "# Simulation parameters\n",
    "scale_factor = 0.001\n",
    "area = 242495 # km2 uk\n",
    "side = int(math.sqrt(area))  # 492\n",
    "\n",
    "def lockdown_policy(infected, deaths, population_size):\n",
    "    \"\"\"Given infected and deaths over time (lists)\n",
    "    determine if we should declare a national lockdown.\n",
    "    \"\"\"\n",
    "    if (max(infected[-20:]) / population_size) > 0.2:\n",
    "        return 14 * 12\n",
    "    return 0\n",
    "\n",
    "sim_params = {\n",
    "    \"grid_x\": 100,  # size of grid: X axis\n",
    "    \"grid_y\": 100,  # size of grid: Y axis\n",
    "    \"density\": 259 * scale_factor,  # population density  # 259 uk, https://en.wikipedia.org/wiki/Demography_of_the_United_Kingdom\n",
    "    \"initial_infected\": 0.05,  # initial percentage of population infected\n",
    "    \"infect_rate\": 0.1,  # chance to infect someone in close contact\n",
    "    \"recovery_period\": 14 * 12,  # number of hours to recover after being infected, 0 for never\n",
    "    \"critical_rate\": 0.05,  # critical illness rate among those infected over the whole recovery period\n",
    "    \"hospital_capacity_rate\": .02, # hospital beds per person\n",
    "    \"active_ratio\": 8 / 24.0,  # ratio of hours in the day when active\n",
    "    \"immunity_chance\": 1.0,  # chance of infection granting immunity after recovery\n",
    "    \"quarantine_rate\": 0.6,  # percentage infected person goes into quarantine\n",
    "    \"lockdown_policy\": lockdown_policy,\n",
    "    \"cycles\": 150 * 12,  # cycles to run, 0 for infinity\n",
    "    'hospital_period': 21 * 12,  # how long in hospital\n",
    "}\n",
    "\n",
    "model = Simulation(sim_params)\n",
    "current_cycle = 0\n",
    "cycles_to_run = sim_params.get('cycles')\n",
    "print(cycles_to_run)\n",
    "print(sim_params)\n",
    "for current_cycle in range(cycles_to_run):\n",
    "    model.step()\n",
    "    if (current_cycle % 10) == 0:\n",
    "        live_plot(model.datacollector.model_vars)\n",
    "#model_data = model.datacollector.get_model_vars_dataframe()\n",
    "#model_data.plot()\n",
    "#print(model_data)\n",
    "#plt.show()\n",
    "\n",
    "#Free beds in the hospital: 250.77600000000004\n",
    "#Population: 62694\n",
    "\n",
    "print('Total deaths: {}'.format(\n",
    "    model.datacollector.model_vars['Deaths'][-1] * 25.733\n",
    "))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total deaths: 874.922\n"
     ]
    }
   ],
   "source": [
    "import sys\n",
    "sys.path.insert(0,'/home/ben/covid19-sim-mesa/')\n",
    "\n",
    "import math\n",
    "from person import Person\n",
    "from model import *\n",
    "\n",
    "# Simulation parameters\n",
    "scale_factor = 0.001\n",
    "area = 242495 # km2 uk\n",
    "side = int(math.sqrt(area))  # 492\n",
    "\n",
    "def lockdown_policy(infected, deaths, population_size):\n",
    "    \"\"\"Given infected and deaths over time (lists)\n",
    "    determine if we should declare a national lockdown.\n",
    "    \"\"\"\n",
    "    if (\n",
    "        (max(infected[-21 * 12:]) / population_size) > 0.2\n",
    "        and deaths[-1] > deaths[-2]\n",
    "    ):\n",
    "        return 14 * 12\n",
    "    return 0\n",
    "\n",
    "sim_params = {\n",
    "    \"grid_x\": 100,  # size of grid: X axis\n",
    "    \"grid_y\": 100,  # size of grid: Y axis\n",
    "    \"density\": 259 * scale_factor,  # population density  # 259 uk, https://en.wikipedia.org/wiki/Demography_of_the_United_Kingdom\n",
    "    \"initial_infected\": 0.05,  # initial percentage of population infected\n",
    "    \"infect_rate\": 0.1,  # chance to infect someone in close contact\n",
    "    \"recovery_period\": 14 * 12,  # number of hours to recover after being infected, 0 for never\n",
    "    \"critical_rate\": 0.05,  # critical illness rate among those infected over the whole recovery period\n",
    "    \"hospital_capacity_rate\": .02, # hospital beds per person\n",
    "    \"active_ratio\": 8 / 24.0,  # ratio of hours in the day when active\n",
    "    \"immunity_chance\": 1.0,  # chance of infection granting immunity after recovery\n",
    "    \"quarantine_rate\": 0.6,  # percentage infected person goes into quarantine\n",
    "    \"lockdown_policy\": lockdown_policy,\n",
    "    \"cycles\": 150 * 12,  # cycles to run, 0 for infinity\n",
    "    'hospital_period': 21 * 12,  # how long in hospital\n",
    "}\n",
    "\n",
    "model = Simulation(sim_params)\n",
    "current_cycle = 0\n",
    "cycles_to_run = sim_params.get('cycles')\n",
    "print(cycles_to_run)\n",
    "print(sim_params)\n",
    "for current_cycle in range(cycles_to_run):\n",
    "    model.step()\n",
    "    if (current_cycle % 10) == 0:\n",
    "        live_plot(model.datacollector.model_vars)\n",
    "#model_data = model.datacollector.get_model_vars_dataframe()\n",
    "#model_data.plot()\n",
    "#print(model_data)\n",
    "#plt.show()\n",
    "\n",
    "#Free beds in the hospital: 250.77600000000004\n",
    "#Population: 62694\n",
    "\n",
    "print('Total deaths: {}'.format(\n",
    "    model.datacollector.model_vars['Deaths'][-1] * 25.733\n",
    "))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [],
   "source": [
    "def debug():\n",
    "    print(model.datacollector.model_vars['Active Cases'][-10:])\n",
    "    print(model.datacollector.model_vars['Immune'][-10:])\n",
    "    print(model.datacollector.model_vars['Deaths'][-10:])\n",
    "    print(model.datacollector.model_vars['Hospitalized'][-10:])\n",
    "    print(model.datacollector.model_vars['Lockdown'][-10:])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 1440x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total deaths: 0.0\n"
     ]
    }
   ],
   "source": [
    "import sys\n",
    "sys.path.insert(0,'/home/ben/covid19-sim-mesa/')\n",
    "\n",
    "import math\n",
    "from person import Person\n",
    "from model import *\n",
    "\n",
    "# Simulation parameters\n",
    "scale_factor = 0.001\n",
    "area = 242495 # km2 uk\n",
    "side = int(math.sqrt(area))  # 492\n",
    "\n",
    "def lockdown_policy(infected, deaths, population_size):\n",
    "    \"\"\"Given infected and deaths over time (lists)\n",
    "    determine if we should declare a national lockdown.\n",
    "    \"\"\"\n",
    "    return 999999\n",
    "\n",
    "sim_params = {\n",
    "    \"grid_x\": 100,  # size of grid: X axis\n",
    "    \"grid_y\": 100,  # size of grid: Y axis\n",
    "    \"density\": 259 * scale_factor,  # population density  # 259 uk, https://en.wikipedia.org/wiki/Demography_of_the_United_Kingdom\n",
    "    \"initial_infected\": 0.05,  # initial percentage of population infected\n",
    "    \"infect_rate\": 0.1,  # chance to infect someone in close contact\n",
    "    \"recovery_period\": 14 * 12,  # number of hours to recover after being infected, 0 for never\n",
    "    \"critical_rate\": 0.05,  # critical illness rate among those infected over the whole recovery period\n",
    "    \"hospital_capacity_rate\": .02, # hospital beds per person\n",
    "    \"active_ratio\": 8 / 24.0,  # ratio of hours in the day when active\n",
    "    \"immunity_chance\": 1.0,  # chance of infection granting immunity after recovery\n",
    "    \"quarantine_rate\": 0.6,  # percentage infected person goes into quarantine\n",
    "    \"lockdown_policy\": lockdown_policy,\n",
    "    \"cycles\": 150 * 12,  # cycles to run, 0 for infinity\n",
    "    'hospital_period': 21 * 12,  # how long in hospital\n",
    "}\n",
    "\n",
    "model = Simulation(sim_params)\n",
    "current_cycle = 0\n",
    "cycles_to_run = sim_params.get('cycles')\n",
    "print(cycles_to_run)\n",
    "print(sim_params)\n",
    "for current_cycle in range(cycles_to_run):\n",
    "    model.step()\n",
    "    if (current_cycle % 10) == 0:\n",
    "        live_plot(model.datacollector.model_vars)\n",
    "#model_data = model.datacollector.get_model_vars_dataframe()\n",
    "#model_data.plot()\n",
    "#print(model_data)\n",
    "#plt.show()\n",
    "\n",
    "#Free beds in the hospital: 250.77600000000004\n",
    "#Population: 62694\n",
    "\n",
    "print('Total deaths: {}'.format(\n",
    "    model.datacollector.model_vars['Deaths'][-1] * 25.733\n",
    "))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total deaths: 643.325\n"
     ]
    }
   ],
   "source": [
    "import sys\n",
    "sys.path.insert(0,'/home/ben/covid19-sim-mesa/')\n",
    "\n",
    "import math\n",
    "from person import Person\n",
    "from model import *\n",
    "\n",
    "# Simulation parameters\n",
    "scale_factor = 0.001\n",
    "area = 242495 # km2 uk\n",
    "side = int(math.sqrt(area))  # 492\n",
    "\n",
    "def lockdown_policy(infected, deaths, population_size):\n",
    "    \"\"\"Given infected and deaths over time (lists)\n",
    "    determine if we should declare a national lockdown.\n",
    "    \"\"\"\n",
    "    if (\n",
    "        (max(infected[-21 * 12:]) / population_size) > 0.01\n",
    "        and len(deaths) > 2\n",
    "        and deaths[-1] > deaths[-2]\n",
    "    ):\n",
    "        return 14 * 12\n",
    "    return 0\n",
    "\n",
    "sim_params = {\n",
    "    \"grid_x\": 100,  # size of grid: X axis\n",
    "    \"grid_y\": 100,  # size of grid: Y axis\n",
    "    \"density\": 259 * scale_factor,  # population density  # 259 uk, https://en.wikipedia.org/wiki/Demography_of_the_United_Kingdom\n",
    "    \"initial_infected\": 0.05,  # initial percentage of population infected\n",
    "    \"infect_rate\": 0.1,  # chance to infect someone in close contact\n",
    "    \"recovery_period\": 14 * 12,  # number of hours to recover after being infected, 0 for never\n",
    "    \"critical_rate\": 0.05,  # critical illness rate among those infected over the whole recovery period\n",
    "    \"hospital_capacity_rate\": .02, # hospital beds per person\n",
    "    \"active_ratio\": 8 / 24.0,  # ratio of hours in the day when active\n",
    "    \"immunity_chance\": 1.0,  # chance of infection granting immunity after recovery\n",
    "    \"quarantine_rate\": 0.6,  # percentage infected person goes into quarantine\n",
    "    \"lockdown_policy\": lockdown_policy,\n",
    "    \"cycles\": 150 * 12,  # cycles to run, 0 for infinity\n",
    "    'hospital_period': 21 * 12,  # how long in hospital\n",
    "}\n",
    "model = Simulation(sim_params)\n",
    "current_cycle = 0\n",
    "cycles_to_run = sim_params.get('cycles')\n",
    "print(cycles_to_run)\n",
    "print(sim_params)\n",
    "for current_cycle in range(cycles_to_run):\n",
    "    model.step()\n",
    "    if (current_cycle % 10) == 0:\n",
    "        live_plot(model.datacollector.model_vars)\n",
    "#model_data = model.datacollector.get_model_vars_dataframe()\n",
    "#model_data.plot()\n",
    "#print(model_data)\n",
    "#plt.show()\n",
    "\n",
    "#Free beds in the hospital: 250.77600000000004\n",
    "#Population: 62694\n",
    "\n",
    "print('Total deaths: {}'.format(\n",
    "    model.datacollector.model_vars['Deaths'][-1] * 25.733\n",
    "))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total deaths: 17035.246\n"
     ]
    }
   ],
   "source": [
    "import sys\n",
    "sys.path.insert(0,'/home/ben/covid19-sim-mesa/')\n",
    "\n",
    "import math\n",
    "from person import Person\n",
    "from model import *\n",
    "\n",
    "# Simulation parameters\n",
    "scale_factor = 0.001\n",
    "area = 242495 # km2 uk\n",
    "side = int(math.sqrt(area))  # 492\n",
    "\n",
    "def lockdown_policy(infected, deaths, population_size):\n",
    "    \"\"\"Given infected and deaths over time (lists)\n",
    "    determine if we should declare a national lockdown.\n",
    "    \"\"\"\n",
    "    if (\n",
    "        (max(infected[-5 * 10:]) / population_size) > 0.6\n",
    "        and \n",
    "        (\n",
    "            len(deaths) > 2\n",
    "            and deaths[-1] > deaths[-2]\n",
    "        )\n",
    "    ):\n",
    "        return 7 * 12\n",
    "    return 0\n",
    "\n",
    "sim_params = {\n",
    "    \"grid_x\": 100,  # size of grid: X axis\n",
    "    \"grid_y\": 100,  # size of grid: Y axis\n",
    "    \"density\": 259 * scale_factor,  # population density  # 259 uk, https://en.wikipedia.org/wiki/Demography_of_the_United_Kingdom\n",
    "    \"initial_infected\": 0.05,  # initial percentage of population infected\n",
    "    \"infect_rate\": 0.1,  # chance to infect someone in close contact\n",
    "    \"recovery_period\": 14 * 12,  # number of hours to recover after being infected, 0 for never\n",
    "    #\"mortality_rate\": 0.005,  # mortality rate among those infected\n",
    "    \"critical_rate\": 0.15,  # critical illness rate among those infected\n",
    "    \"hospital_capacity_rate\": .02, # hospital beds per person\n",
    "    # https://www.hsj.co.uk/acute-care/nhs-hospitals-have-four-times-more-empty-beds-than-normal/7027392.article\n",
    "    # https://www.kingsfund.org.uk/publications/nhs-hospital-bed-numbers\n",
    "    \"active_ratio\": 8 / 24.0,  # ratio of hours in the day when active\n",
    "    \"immunity_chance\": 1.0,  # chance of infection granting immunity after recovery\n",
    "    \"quarantine_rate\": 0.6,  # percentage infected person goes into quarantine\n",
    "    \"lockdown_policy\": lockdown_policy,\n",
    "    \"cycles\": 150 * 12,  # cycles to run, 0 for infinity\n",
    "    'hospital_period': 21 * 12,  # how long in hospital\n",
    "}  # end of parameters\n",
    "\n",
    "model = Simulation(sim_params)\n",
    "current_cycle = 0\n",
    "cycles_to_run = sim_params.get('cycles')\n",
    "print(cycles_to_run)\n",
    "print(sim_params)\n",
    "for current_cycle in range(cycles_to_run):\n",
    "    model.step()\n",
    "    if (current_cycle % 10) == 0:\n",
    "        live_plot(model.datacollector.model_vars)\n",
    "#model_data = model.datacollector.get_model_vars_dataframe()\n",
    "#model_data.plot()\n",
    "#print(model_data)\n",
    "#plt.show()\n",
    "\n",
    "#Free beds in the hospital: 250.77600000000004\n",
    "#Population: 62694\n",
    "\n",
    "print('Total deaths: {}'.format(\n",
    "    model.datacollector.model_vars['Deaths'][-1] * 25.733\n",
    "))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {},
   "outputs": [
    {
     "ename": "SyntaxError",
     "evalue": "invalid syntax (<ipython-input-87-9688263e5ba3>, line 1)",
     "output_type": "error",
     "traceback": [
      "\u001b[0;36m  File \u001b[0;32m\"<ipython-input-87-9688263e5ba3>\"\u001b[0;36m, line \u001b[0;32m1\u001b[0m\n\u001b[0;31m    * https://teck78.blogspot.com/2020/04/using-mesa-framework-to-simulate-spread.html\u001b[0m\n\u001b[0m             ^\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m invalid syntax\n"
     ]
    }
   ],
   "source": [
    "* https://teck78.blogspot.com/2020/04/using-mesa-framework-to-simulate-spread.html\n",
    "* https://mesa.readthedocs.io/en/master/index.html\n",
    "* https://github.com/benman1/covid19-sim-mesa"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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